If the number of ways in which four distinct balls can be put into two identical boxes so that nobox remains empty is equal to K, then K =andhellip;andhellip;andhellip;andhellip;.Correct answer is '7'. Can you explain this answer?

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If the number of ways in which four distinct balls can be put into two identical boxes so that no box remains empty is equal to K, then K =………….

Correct answer is '7'. Can you explain this answer?

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If the number of ways in which four distinct balls can be put into two...

7
Every ball have two options
⇒ 4 balls can be put in 2⁴ways.
Arrangement among themselves in 2!

But, above count also includes the one case in which all the balls are put in one box,
⇒ Required number of ways = 2³ – 1 = 7.

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If the number of ways in which four distinct balls can be put into two identical boxes so that nobox remains empty is equal to K, then K =………….Correct answer is '7'. Can you explain this answer?

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